0.02x+0.01(5000-x)=82

Solution for 0.02x+0.01(5000-x)=82 equation:

Simplifying
0.02x + 0.01(5000 + -1x) = 82
0.02x + (5000 * 0.01 + -1x * 0.01) = 82
0.02x + (50 + -0.01x) = 82

Reorder the terms:
50 + 0.02x + -0.01x = 82

Combine like terms: 0.02x + -0.01x = 0.01x
50 + 0.01x = 82

Solving
50 + 0.01x = 82

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-50' to each side of the equation.
50 + -50 + 0.01x = 82 + -50

Combine like terms: 50 + -50 = 0
0 + 0.01x = 82 + -50
0.01x = 82 + -50

Combine like terms: 82 + -50 = 32
0.01x = 32

Divide each side by '0.01'.
x = 3200

Simplifying
x = 3200